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math.AP2026
Existence and stability of shock profiles for a one-dimensional full compressible Navier--Stokes--Poisson equations
Yeping Li, Yuan Yuan
This paper studies the existence and asymptotic stability of traveling shock waves for the one-dimensional full compressible Navier--Stokes--Poisson equations, which model viscous…
math.AP2026
Nonlinear Stability of Taylor-Couette Flows with Heat Buoyancy
Yeping Li, Gaofeng Wang, Tianfang Wu
This paper investigates the nonlinear stability of Taylor-Couette (TC) flows incorporating the thermal buoyancy within an annular domain characterized by small viscosity and th…
math.AP2026
Hydrodynamic limit of the Vlasov-Poisson-Boltzmann system for gas mixture
Yeping Li, Gaofeng Wang, Tianfang Wu
In this paper, we study the hydrodynamic limit of the Vlasov-Poisson-Boltzmann system for a gas mixture in the whole space with the potential range of $γ\in\…